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14. (10 points) There are 208 students at Rushmore Academy. The foreign language de- partment offers Arabic, Mandarin, and Spanish. . 4 students take all three languages. . 48 students study Arabic. . There are twice as many students who study both Arabic and Spanish (but not Mandarin) as who study both Arabic and Mandarin (but not Spanish), and 4 times as many as who study all 3. . 124 students study Spanish. . 27 students do not study any foreign language. . The group of students who study both Arabic and Spanish (but not Mandarin) is exactly the same size as the group made up of students who study both Mandarin and Spanish. Fill in a Venn diagrams with three sets, representing the people who take Arabic, Man- darin, and Spanish, respectively. Label each of the eight disjoint subsets in the diagram with its cardinality